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Simplifying 40x2 + 33 = -74x Reorder the terms: 33 + 40x2 = -74x Solving 33 + 40x2 = -74x Solving for variable 'x'. Reorder the terms: 33 + 74x + 40x2 = -74x + 74x Combine like terms: -74x + 74x = 0 33 + 74x + 40x2 = 0 Factor a trinomial. (11 + 10x)(3 + 4x) = 0Subproblem 1
Set the factor '(11 + 10x)' equal to zero and attempt to solve: Simplifying 11 + 10x = 0 Solving 11 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 0 + -11 10x = 0 + -11 Combine like terms: 0 + -11 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-1.1, -0.75}
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